Answer:
8 is the side length of the greater square. 100=x^2+(x-2)^2
Step-by-step explanation:
64+36=100
8 squared plus 6 squared equals 10 squared
8 is 2 more than 6
100=x^2 +y^2
x-y=2
100=x^2+(x-2)^2
A standard die is rolled two times. What is the probability that it lands on 5 both times?
I’m stuck between 1/18 and 1/36.
Answer:
1/36
Step-by-step explanation:
A die can roll a 1,2,3,4,5,6
P (5) = number of 5's / total
= 1/6
The 2nd roll is independent so the probability is the same
P (5) = number of 5's / total
= 1/6
P(5, 5) = 1/6*1/6 = 1/36
Classwork
Problem 1.
Gisele spent 7/10 of her money оn a book and 10/100 of her money on food. What fraction of her money
did she spend altogether?
Answer: It is 8/10 Because 7+1 equals 8/10 so 7/10+1/10 equals 8/10.
In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colleges were overweight. The definition of overweight is a body mass index (BMI) of over 25.
In 2019, a professor in public health at a major university wanted to determine whether that proportion had decreased since 2008. So, he sampled 800 randomly selected incoming male freshman at universities around the country. Using the BMI measurements, he found that 210 of them were overweight. Test the professor’s claim at an α = 0.05 level of significance, the proportion of obese male teenagers in American colleges decreased. Make sure that any necessary assumptions for conducting the hypothesis test are satisfied.
A) State the null and alternative hypothesis.
H0:
Ha:
B) Determine the critical value(s) for the test.
C) Compute the test statistic (show your work).
D) Make your decision.
E) State your conclusion in terms of the professor’s claim.
Answer:
a) H0 : u = 28.5%
H1 : u < 28.5%
b) critical value = - 1.645
c) test statistic Z= - 1.41
d) Fail to reject H0
e) There is not enough evidence to support the professor's claim.
Step-by-step explanation:
Given:
P = 28.5% ≈ 0.285
X = 210
n = 800
[tex] p' = \frac{X}{n} = \frac{210}{800} = 0.2625 [/tex]
Level of significance = 0.05
a) The null and alternative hypotheses are:
H0 : u = 28.5%
H1 : u < 28.5%
b) Given a 0.05 significance level.
This is a left tailed test.
The critical value =
[tex] -Z_0.05 = -1.645 [/tex]
The critical value = -1.645
c) Calculating the test statistic, we have:
[tex]Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}[/tex]
[tex]Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}[/tex]
Z = -1.41
d) Decision:
We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645
e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.
Describe a free market economy
Answer:
soviet russia
Step-by-step explanation:
just kidding
The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market
Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand
please answer this correctly I have to finish this today as soon as possible
Estimate the measure of this angle within 10°.
Answer:
It seems like it is 110 degrees.
Step-by-step explanation:
How to solve this problem?
g = number of goblins
w = number of wizards
There are 220 club members altogether, so
g + w = 220
There are 20% more goblins than wizards, so
g = 1.2 w
Substitute this into the first equation and solve for w, then for g.
1.2 w + w = 2.2 w = 220 ==> w = 100
g = 1.2 w ==> g = 120
Please help if you can
Answer:
4
Step-by-step explanation:
We just have to find the corresponding d(t) value when t=2. From the graph, we can see that when t = 2, d(2) = 4. Hope this helps!
I need the answer ASAP giving 20 points!
Answer: a makes the most sense
Step-by-step explanation:
Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681[/tex]
€1.4 m
1.9 m
Tim has to cover 3 tanks completely with paint.
Each tank is in the shape of a cylinder with a top and a bottom.
The tank has a diameter of 1.4 metres and a height of 1.9 m.
A tin of paint covers 5 m
Find the total surface area of the 3 tanks and state how
many tins of paint Tim will need to buy
You must show your working
Total marks 5
Answer:
Step-by-step explanation:
Since each tank is cylindrical, we would apply the formula for determining the total surface area of a cylinder which is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the height of the cylinder.
h represents the height of the cylinder.
π = 3.14
From the information given,
Height = 1.9
Diameter = 1.4
Radius = diameter/2 = 1.4/2 = 0.7
Total surface area = 2 × 3.14 × 0.7² + 2 × 3.14 × 0.7 × 1.9 = 3.0772 + 8.3524 = 11.4296 m²
Total surface area of the 3 cylinders = 11.4296 × 3 = 34.29 m²
Since a tin of paint covers 5 m², the number of tins paints that Tim will need to buy is
34.29/5 = 6.858
Since the tins of paint must be whole numbers, he needs to buy 7 tins of paints.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT PPLY
Answer:
F
Step-by-step explanation:
x = 26-9
Answer:
F. 17
Step-by-step explanation:
There would only be one answer choice, and to find this, all you can do is subtract 9 from both sides, like so:
x + 9 = 26
- 9 - 9
________
x = 17
This means that when you plug in 17 for x, the answer will come out to 26.
9. The temperature at noon was 84° F and it began to drop 0.8° each hour. If the current temperature is 79.2° F, write and solve an equation to determine the number of hours that have passed.
Answer:6 hours have passed by.
Step-by-step explanation:
0.8x= 84-79.2 where x is the number of hours.
O.8x = 4.8
Divide both sides by 0.8
X= 6
Complete 8,9 for 5-8 points.
Step-by-step explanation:
8. Let's call the number x. We can set up the equation -3x - 5 = -10. Adding 5 to both sides, we have -3x = -5, and when we divide both sides by -3, we have x = 5/3.
9. Again, we'll call the number x. The equation is 2x - 3 = -13. We can write -3 instead of +(-3) because adding a negative number is the same as subtracting. Adding 3 to both sides, we have 2x = -10, and dividing bu -2, we have x = -5. Hope this helps!
Mark wants a new car that costs $30000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he chose
Answer: He should choose the savings account because he can earn more interest and the money in his savings account is more than the money in his checking account.
Step-by-step explanation:
Compute 90, 91, 92, 93, 94, and 95. 90 = 1 91 = 9 92 = 81 93 = 729 94 = 6561 95 = 59049 Make a conjecture about the units digit of 9n, where n is a positive integer. If n is even, the units digit of 9n is 1 . If n is odd, the units digit of 9n is 9 . Use strong mathematical induction to prove your conjecture. Submit your proof as a free response. (Submit a file with a maximum size of 1 MB.)
Answer:
Step-by-step explanation:
First we compute [tex]9^n[/tex], for [tex]n = 0,1,2,3,4,5[/tex]
[tex]9^0=1,9^1=9,9^2=81,9^3=729,9^4=6561,9^5=59049[/tex]
We have the unit digit of [tex]9^n[/tex], is either 1 or 9
Therefore, the conjecture can be state as follows
Conjecture; the unit of digit of [tex]9^n[/tex], is 1, when n is even and 9 when n is odd
Let the property p(n) be the formula;
"The unit digit of [tex]9^n[/tex], is 1 when n is even and 9 when n is odd"↔ P(n)
To show p(n) is true , we will use strong mathematical inductive
Show tgat p(0) and p(1) are true
We have to show the unit digit of [tex]9^0[/tex] is 1 and [tex]9^1[/tex] is 9
Since any integer with zero power is one and hence
[tex]9^0=1[/tex] and [tex]9^1 = 9[/tex]
Therefore, p(0) and p(1) are true
Show that for al integer [tex]k\geq 1[/tex], if p(i) is true for all integer i from o through k, then p(k+1) is also true
let k be any integer with [tex]k \geq 1[/tex] and suppose that for all integer i with [tex]0 \leq i \leq \leq k[/tex]
the unit digit of [tex]9^i[/tex] is 1 when is even and 9 when n is odd
we must show that [tex]9^{k +1}[/tex] equals 1 when n is even and 9 when n is odd
Case I; (k +1 is odd)
in this case k is even and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 1 and hence there is some non negative integer q such that
[tex]9^k = 10q + 1[/tex]
now, [tex]9^{k+1}=9^k(9)[/tex]
= (10q + 1)9
= 90q + 9
= 10.9q + 9
Note that for any non negative integer q , 9q is also an integer and this implies the unit digit of [tex]9^{k+1}[/tex] is 9
Case II
(k +1 is even)
in this case k is odd and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 9 and hence there is some non negative integer q such that
[tex]9^k=10q+9[/tex]
Now,
[tex]9^{k+1}=9^k.9\\=(10q+9)9\\=90q+81\\=10(9q+8)+1[/tex]
Note that any non negative integer q, 9q + 8 is also an integer and this implies the unit of [tex]9^{k+1}[/tex] is 1
Since we have proved both the basis and the inductive step of the strong mathematical induction, we conclude that the given statement is true
Nine pamlets weigh a total of 7.5 ounces. How much does each pamlet weigh
Answer:
8.333333 each
Step-by-step explanation:
Answer:5/6 ounces
Step-by-step explanation:
9 pamlet weigh 7.5 ounces
Each pamlet weigh ______
Each pamlet weigh 7.5/9
Each pamlet weigh 5/6 ounces
Given: m = 1/2 and b = 4
The slope and y-intercept for a linear equation are given. Which graph matches this information?
Answer:
Graph C
Step-by-step explanation:
This graph had a slope of 1/2 and a y-intercept of 4.
If this answer is correct, please make me Brainliest!
The rectangle is 3 3⁄4 centimeters long and 2 1⁄2 centimeters wide. What is the area of this rectangle?
Which equation represents the hyperbola shown in the
graph?
10
8
(x - 2)2
(y + 3)
25
(-2,5) 6
(-7,3)
(1-21)
4-12-10 -8 -6 4-2
(3,3)
(x + 2)2
(y = 3) = 1
4
2 4 6
(x + 2)2
25
(y - 3)2
4
1
(232) - (7,31 = 1
(x - 2)2
25
Answer:
Step-by-step explanation:
A general equation of a hyperbola is
x^2 y^2
-------- - ------- = 1 (This applies only when the center of the hyperbola
a^2 b^2 is at (0, 0) ).
You must compare the given equations to this standard form to identify which represents the hyperbola shown, and also you must share the illustration of the hyperbola.
The equation represents the hyperbola shown in the graph is (y - 1)² / 9 - (x + 4)² / 4 = 1
What is a hyperbola?A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
Given that, a graph, showing hyperbola, we need to find the equation,
We have the general equation for up - down facing hyperbola as
(y - k)² / b²- (x - h)² / a² = 1.
Let's start listing the properties of this graph -
Taking a look at the graph we see that the center point of our hyperbola here is (- 4, 1).
Therefore, (h, k) = (- 4,1).
This is the semi distance from the center to one of the vertices. Here it will be the distance from points (- 4,1) and (- 4,4) or 3 unit difference.
Therefore, a = 3.
That gives asymptotes. Now remember that it will be in the form
y = ± b / a.
We already know a = 3, so we have to find b.
Looking at this graph we can say that another point besides (- 4,1) that lies on the "dotted line" is (- 2, - 2).
Calculating the slope of the dotted line would be as follows,
Given: (- 4,1) and (- 2, - 2)
Slope = - 2 + 4 / - 2 - 1 = 2 / 3
We have the equation y = 2 / 3x.
Therefore, b = 2.
Let's substitute to equation...
h = - 4, k = 1, b = 2, a = 3
(y - 1)² / (3)²- (x + 4)² / (2)² = 1
(y - 1)² / 9 - (x + 4)² / 4 = 1
Hence, the equation represents the hyperbola shown in the graph is (y - 1)² / 9 - (x + 4)² / 4 = 1
Learn more about hyperbolas, click;
https://brainly.com/question/28989785
#SPJ7
The complete question is attached
i need help with this problem x/56=7/8 Thank you
[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]
Calculate the simple interest on a loan of $3500 for a period of 2 years at an annual rate of 5%.
Answer:
Monthly loan payment is $153.55 for 24 payments at 5%
Step-by-step explanation:
To start a board game, the player who rolls two sixes gets To go first.What is the probability that a player will roll two number cubes and get two sixes
Answer:
1/36
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
There is a 1/36 or a ~2.8% chance that a player will roll two sixes. Because the dice is cubed, the player will have a 1/6 probability of rolling a six one time. Because the player needs to get six 2 times in a row, you would simply need to multiply 1/6 by itself twice(1/6•1/6 or 1/6^2) which equals 1/36.
The article “Heavy Drinking and Polydrug Use Among
College Students” (J. of Drug Issues, 2008: 445–466) stated
that 51 of the 462 college students in a sample had a lifetime
abstinence from alcohol. Does this provide strong evidence
for concluding that more than 10% of the population sam-
pled had completely abstained from alcohol use? Test the
appropriate hypotheses using the P-value method. [Note:
The article used more advanced statistical methods to study
the use of various drugs among students characterized as
light, moderate, and heavy drinkers.]
Answer:
Yes it does provide strong evidence
Step-by-step explanation:
Please help me please
67). Inez walked in the treadmill for 7/10hr and had stopped for 1/2hr. How much time he was actually working out?________________________________________________________
69).During a 12- hour period, the temperature dropped 48 °, how many degrees did the temperature dropped each hour?_____________________________________________
70). The elevation of Turpan Pendi in China is -185 meters. The elevation of the Qattara Depression in Egypt is -163 meters. Compare the two elevations using < or >.______________
Answer:
Step-by-step explanation:
Hello!
Inez walked in the treadmill for 7/10hr and had stopped for 1/2hr. How much time he was actually working out?
Time in the treadmill is [tex]\frac{7}{10}[/tex] hr
1 hour is the whole, you can express it as [tex]\frac{10}{10}[/tex].
If you express it in minutes then [tex]\frac{10}{10} = 60min[/tex], then [tex]\frac{1}{10} = \frac{60}{10}= 6 min[/tex]
Now you can calculate the amount of time he was on the treadmill:
[tex]\frac{7}{10}= 7*6= 42 min[/tex]
Time he had stopped
[tex]\frac{1}{2}= 30min[/tex]
Between the time he was on the treadmill and the time he rested, he worked out for 42 + 30= 72 min = 1 hour and 12 minutes.
During a 12- hour period, the temperature dropped 48 °C how many degrees did the temperature dropped each hour?
You can use cross multiplication to calculate how many degrees per hour the temperature decreased:
If in 12 hrs it decreased 48ºC
Then in 1 hr it decreased [tex]\frac{1*48}{12} = \\[/tex] 4ºC
The elevation of Turpan Pendi in China is -185 meters. The elevation of the Qattara Depression in Egypt is -163 meters. Compare the two elevations using < or >.______________
To easily determine which elevation is higher than the other you have to order them from least to greatest in a number line. These measurements are negative, which means that, the "higher" the module is, the less in the number line the negative value will be:
----|---------------------------------------|--------------------------------|--
-185 -163 0
(The line is not on scale)
Using < or >, you can say that -163 meters > -185 meters.
I hope this helps!
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π)
Answer:6908 (miles) ^2
Step-by-step explanation:
diameter=2200 miles
π=3.14
Circumference=π x diameter
Circumference=3.14 x 2200
Circumference=6908 (miles)^2
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
so your answer is B.
What’s the correct answer for this?
Answer:
A number, such as 10 is a composite number because it is even.
Bette has a life insurance policy that will pay her family $40,000 per year if
she dies. Bette's insurance company expects that it would have to put
$2,500,000 into a bank account so that it could make the payments. What
does Bette's insurance company expect the interest rate to be?
Answer:
1.6%
Step-by-step explanation:
Solve for r
40,000=(2,500,000)(r/100)(1)
40,000=(25,000)r
r=40,000/25,000
r=1.6
Triangle CDE with vertices C(1, -1), D(2, 3), and E(3,-2) is reflected in line x= 4.
What are the coordinates of D’?
(7,-1)
(5,-2)
(6,7)
(6,3)
Answer:
(6,3)
Step-by-step explanation:
Two is two away from four and since it is on the left side, you add to get six as your x coordinate. The y coordinate stays the same.
what is the mode following data set: 0.5, 0.3, 0.2, 0.9, 0.3, 0.5, 0.2, 0.3
Answer:
the mode is 0.3
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
hope this helps!!!!!!!!
The system of equations y = 2 x minus 1 and y = negative one-fourth x + 3 is shown on the graph below.
On a coordinate plane, 2 lines intersect around (1.8, 2.6).
What is a reasonable estimate for the solution?
(1 and three-fourths, 2 and one-half)
(2 and one-half, 1 and three-fourths)
(1 and one-third, 2 and one-half)
(2 and one-half, 1 and one-third)
Answer:
(1 3/4, 2 1/2)
Step-by-step explanation:
The point of intersection is an "ordered pair." That means the order of the two numbers is important. The first number means something different than the second number.
So, if you want a reasonable estimate for (1.8, 2.6), you need to have the first number in the estimate be close to 1.8. The offered choices are ...
1 3/4 = 1.75
2 1/2 = 2.5
1 1/3 ≈ 1.33
The closest of these to 1.8 is 1.75, so the first choice is the best choice so far.
__
The second number of the estimate needs to be close to 2.6. The offered choices are ...
2 1/2 = 2.5
1 3/4 = 1.75
1 1/3 = 1.33
The closest of these to 2.6 is 2.5, so the first choice is still the best choice.
A reasonable estimate is (1 3/4, 2 1/2).
Answer:
A: (1 3/4, 2 1/2)
Step-by-step explanation:
